Sentence examples for able to prove variants from inspiring English sources

We specialize our results beyond ℓp-spaces and are able to prove variants of Bayart's results in the setting of Orlicz sequence spaces.

Now, we are able to prove a variant of the Schauder fixed point theorem in semilinear Banach spaces.

Thus, in our experiments, we set the length of random walk step k = 7 for all the three variants of DSDs (we also tested other values of k and empirically observed that when k ≥ 5, the performance is almost unchanged even though we have not been able to prove the convergence of the variants of DSDs).

While the results in (Cao et al., 2013) were based on the converged DSD as k → ∞, we have not yet been able to prove convergence for our new cDSd, caDSD and capDSD variants.

Have you been able to prove that?

No one has been able to prove it".

But he hadn't been able to prove it.

"The police are not able to prove a criminal act.

Even longtime veterans were able to prove something.

However, such studies alone are rarely able to prove cause.

They have not been able to prove that allegation.